Decision Theory and GLM

University of Cape Town

Course Description

  • Course Name

    Decision Theory and GLM

  • Host University

    University of Cape Town

  • Location

    Cape Town, South Africa

  • Area of Study

    Statistics

  • Language Level

    Taught In English

  • Prerequisites

    Course entry requirements: STA2004F and STA2005S. MAM2000W is strongly recommended (linear algebra and advanced calculus modules).

  • Course Level Recommendations

    Upper

    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • Host University Units

    36
  • Recommended U.S. Semester Credits
    6
  • Recommended U.S. Quarter Units
    9
  • Overview

    Course outline:
    This course forms part of the third year major in Mathematical Statistics. It consists of two modules: The Generalised Linear Models module introduces students to the theory and application of fitting linear models to different types of response variables with different underlying distributions. The Decision and Risk Theory module is an introduction to the structure of decision making under uncertainty. The content of the modules are as follows:
    Generalized linear modules: Topics covered include: the exponential family of distributions, the GLM formulation, estimation and inference, models for continuous responses with skew distributions, logistic regression, Poisson regression and loglinear models.
    Decision theory: Topics covered include: game theory and non probabilistic decision criteria; probabilistic decision criteria; expected value and utility; use of Bayes? theorem; value of information; Bayesian statistical analysis for Bernoulli and normal sampling; empirical Bayes and credibility theory; loss and extreme value distributions; Monte Carlo method.

Course Disclaimer

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.